3Blue1Brown Series — Season 1, Episode 1: Vectors, what even are they?

Episode synopsis

Kicking off the linear algebra lessons, let's make sure we're all on the same page about how specifically to think about vectors in this context.

About 3Blue1Brown Series

3Blue1Brown is a channel about animating math, in all senses of the word animate.

More episodes from Season 1

• E2Linear combinations, span, and basis vectors
• E3Linear transformations and matrices
• E4Matrix multiplication as composition
• E5Three-dimensional linear transformations
• E6The determinant
• E7Inverse matrices, column space and null space
• E8Nonsquare matrices as transformations between dimensions
• E9Dot products and duality
• E10Cross products
• E11Cross products in the light of linear transformations
• E12Cramer's rule, explained geometrically
• E13Change of basis